{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2.不平衡数据的二分类问题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 什么是不平衡数据：对于y为分类型的数据，如果y的每类的比率相差极大，则为不平衡数据\n",
    "\n",
    "- 例如：y只取A类，B类，其中，A类样本：B类样本=9:1，则该数据为不平衡数据。\n",
    "\n",
    "- 将上述样本分为train和test，而且在train和test上保持A类：B类的值还是9:1;\n",
    "\n",
    "- 那么，在train上我们可以构建一个最简单的模型：就是把所有的样本都预测为A类，那么，在这个模型在test上的准确率为0.9\n",
    "\n",
    "- 对于不平衡数据来说，模型的test上的得分会存在一个下限。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 下面我们构建一个不平衡数据\n",
    "### digits数据集y取10种类别，将y=‘9’定义为一类，“y=其他数字”成为另一类，于是我们创建了一个9:1的不平衡数据\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import mglearn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits()\n",
    "y = digits.target == 9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    digits.data, y, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    1617\n",
       "True      180\n",
       "dtype: int64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.Series(y).value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- DummyClassifier虚拟分类器从y中查找y的频率，用y中频率最大的类别来作为最后的预测\n",
    "- 我们需要一个虚拟估计器来获得模型性能度量的底线。任何其他机器学习算法至少应该优于虚拟估计器。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Unique predicted labels: [False]\n",
      "Test score: 0.90\n"
     ]
    }
   ],
   "source": [
    "from sklearn.dummy import DummyClassifier\n",
    "dummy_majority = DummyClassifier(strategy='most_frequent').fit(X_train, y_train)\n",
    "pred_most_frequent = dummy_majority.predict(X_test)\n",
    "print(\"Unique predicted labels: {}\".format(np.unique(pred_most_frequent)))\n",
    "print(\"Test score: {:.2f}\".format(dummy_majority.score(X_test, y_test)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 决策树的得分应该比DummyClassifier高，假设我们已经学过决策树的理论了，但即使没学过我们也可以使用它。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test score: 0.92\n"
     ]
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "tree = DecisionTreeClassifier(max_depth=2).fit(X_train, y_train)\n",
    "pred_tree = tree.predict(X_test)\n",
    "print(\"Test score: {:.2f}\".format(tree.score(X_test, y_test)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- logistic二分类回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "logreg score: 0.98\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Program Files\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\_logistic.py:765: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  extra_warning_msg=_LOGISTIC_SOLVER_CONVERGENCE_MSG)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "logreg = LogisticRegression(C=0.1).fit(X_train, y_train)  #C\n",
    "pred_logreg = logreg.predict(X_test)\n",
    "print(\"logreg score: {:.2f}\".format(logreg.score(X_test, y_test)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 从上面的结果发现，逻辑斯蒂回归的准确率为0.98，那么我们可以断定逻辑斯蒂模型的预测效果极好么？\n",
    "#### 答案是不一定！"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3 新的评价标准：混淆矩阵和ROC曲线"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 我们来看，混淆矩阵——Confusion matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Confusion matrix:\n",
      "[[402   1]\n",
      " [  6  41]]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "\n",
    "confusion = confusion_matrix(y_test, pred_logreg)\n",
    "print(\"Confusion matrix:\\n{}\".format(confusion))"
   ]
  },
  {
   "attachments": {
    "image.png": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mglearn.plots.plot_binary_confusion_matrix()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Most frequent class:\n",
      "[[403   0]\n",
      " [ 47   0]]\n",
      "\n",
      "Decision tree:\n",
      "[[390  13]\n",
      " [ 24  23]]\n",
      "\n",
      "Logistic Regression\n",
      "[[402   1]\n",
      " [  6  41]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Most frequent class:\")\n",
    "print(confusion_matrix(y_test, pred_most_frequent))\n",
    "print(\"\\nDecision tree:\")\n",
    "print(confusion_matrix(y_test, pred_tree))\n",
    "print(\"\\nLogistic Regression\")\n",
    "print(confusion_matrix(y_test, pred_logreg))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Relation to accuracy\n",
    "\\begin{equation}\n",
    "\\text{Accuracy} = \\frac{\\text{TP} + \\text{TN}}{\\text{TP} + \\text{TN} + \\text{FP} + \\text{FN}}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Precision, recall and f-score\n",
    "\\begin{equation}\n",
    "\\text{Precision} = \\frac{\\text{TP}}{\\text{TP} + \\text{FP}}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false
   },
   "source": [
    "\\begin{equation}\n",
    "\\text{Recall} = \\frac{\\text{TP}}{\\text{TP} + \\text{FN}}\n",
    "\\end{equation}\n",
    "\\begin{equation}\n",
    "\\text{F} = 2 \\cdot \\frac{\\text{precision} \\cdot \\text{recall}}{\\text{precision} + \\text{recall}}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 受试者工作特征:Receiver Operating Characteristics (ROC) and area under the curve(AUC)\n",
    "\\begin{equation}\n",
    "\\text{FPR} = \\frac{\\text{FP}}{\\text{FP} + \\text{TN}}\n",
    "\\end{equation}\n",
    "\\begin{equation}\n",
    "\\text{TPR} = \\frac{\\text{TP}}{\\text{TP} + \\text{FN}}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 谈谈ROC曲线形成的思路：\n",
    "- 1.以SVC模型为例，SVC模型默认输入特征X，如果输出大于0，则为正例，否则为反例，这里面0表示阈值；\n",
    "- 2.如果我们取不同的阈值，则会得到不同的混淆矩阵，则必然导致不同的FPR和TPR\n",
    "- 3.取一系列的阈值（例如：(-0.5，0.5)中等距的100个点），则得到一系列的数对（FPR，TPR），将这些数对（FPR，TPR）画出来就得到ROC曲线。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NmtGyZctAR9bGolQKqHMu18weB2ab2QPAKrzi1gxo7Jy7xTn3i5lNACaY2WbgXbzimX/13/xPhjeALDObjHeqSWugqP32z4DLzOxVYAeQ65z7uZiIc/FGvE7AG4T0a7erc26bmY0AHvb3dN/B69pujHdqzJXF/MzbzGw0MMbMKgKL8I5lXgaMdM59W8Tb3gD+x8zeB77EK54nhTYws6l4e8Xv4XWJt8U7ReYef/qLwGq8U1t2441mPsLPLWXUqaeeyg033MCMGTNKbJebm8v06dO55ZZbkpRMDmdLly4lMzMz6BiBKc0rEd2BN7L1RrxikoNXTEI/2B/COz2lL/ACUNN/DrAdwDm3CK9YXI13LLQNXvdquD/hjWBdCPwdOLu4YP6e3Aq87tbZRUx/AG+0anvgZbzzUrvjndNZLOfcOLzRx+38900FjgKKK+Sj/Hln+//uwzuHNNRK4AK8wUmL8Lq0b3XO5fffrcA7ZeZZf5lnA1c753TJwDJu5MiRVKxYMap2e/bsSUKi0jFx4kQmTpwYdAyRmEXcA3XO9SzitXWAhb3mgMn+o7h5ObzzF4flv2ZmTwLfOOe2hbR7gMLnh4YvbzUHBxeFvl7kqFTn3PnF5fKnzwJmldSmmPdNxSucRU3rGfZ8B955n+EspE0O3peP4paXvycth5kGDRpw++2388gjj5TYbsOGDfzlL3+hf//+SUp2aBYsWADAgAHRHgkRSQ1JvRaumZ3mjyhtb2aX+t20BS4kICLFGzJkCNWqFXedjoPGjRvH9u3bk5BI5PCV7IvJ7wTOx+t+nI/XxXsP3qkdIhLBMcccw1133RWx3Q8//KBuUZEES2oBdc595Zxr65yr6Zyr6Jw72Tk3MWzErYiUYMCAAdSqVStiu4ceeojNm8NPuxaR0pLOtzMTOSzVqFGDQYMGRWy3Y8cOxowZk4REh6ZKlSpUqVIl6BgiMVMBFUlDd9xxB/XqFXeVyYMef/xxvv766yQkit/ixYtZvHhx0DFEYqYCKpKGKleuzH333Rex3d69e6O6ObeIxE4FVCRN3XzzzTRuHPn+CjNnzuTTTz+N2C4oo0ePZvTo0UHHEImZCqhImsq/6XYkv/zyC0OHDk1Covi8+eabvPnmm0HHEImZCqhIGuvatStnnXVWxHYvvvgiH3zwQRISiRw+VEBF0piZMXbs2MgNIaqRuyISPRVQkTR36aWXRnVB77feeoslS5YkPpDIYUIFVKQMiPam26m4F1qrVq2oLgwhkmpK636gIhKgc889l8svv5xXXnmlxHarVq3ihRdeSFKq6KRaHpFoaQ9UpIwYO3Ys5cpF/pPOv/uJiBwaFVCRMqJZs2Z079496BgxGzRoUEp2LYtEogIqUoZEe9PtVLJy5UpWrlwZdAyRmKmAipQhjRo1onfv3kHHEDksqICKlDFDhw7lyCOPDDqGSJmnAipSxtSpU4esrKygY4iUeSqgImXQn/70J44++uigY0SlXr16Ud2aTSTVqICKlEG/+c1vuOeee4KOEZVZs2Yxa9asoGOIxEwFVKSM6tevH8cdd1zQMUTKLBVQkTKqSpUqUd10O2hZWVk6ZitpSQVUpAzr1asXJ598ctAxSrRmzRrWrFkTdAyRmOlauJIymjdvzvDhwyO2i+bOI+I54ogjGDVqFNddd13QUUTKHBVQSRnNmzenefPmQceIiXMu6AgRXXvttVx77bVBxxApc1RARURi0LBhw7T44nQoOnfuTMOGDSO2i6ZNWaYCKiKBaty4cdARJEznzp3p3Llz0DFSngqoiARq2rRpQUcQiYtG4YqIiMRBBVREAtW7d2/dQUbSkrpwRSRQ//73v4OOIBIX7YGKiIjEQQVUREQkDiqgIiIicdAxUBEJVLpdfUoknwqoiARq8uTJQUcQiYu6cEVEROKgAioigbr++uu5/vrrg44hEjN14YpIoDZs2BB0BJG4aA9UREQkDiqgIiIicVABFRERiYOOgYpIoFq1ahV0BJG4qICKSKDGjRsXdASRuKiAHiZyc3PJzMws8No111xD37592bVrFx06dCj0np49e9KzZ0+2bNlCly5dCk3v06cP3bp1Y/369dxwww2Fpvfv359OnTqRm5vLbbfdVmj60KFDadeuHWvWrCErK6vQ9LFjx9K6dWtWrFjB4MGDC02fPHkyzZs3Z8mSJWRnZxeaPnXqVJo0acL8+fOZNGlSoekzZ86kfv36zJkzh8cee6zQ9Hnz5pGRkUFOTg45OTmFpi9atIiqVasyZcoU5s6dW2j6smXLAJg4cSILFiwoMK1KlSosXrwYgNGjR/Pmm28WmF6rVi1eeOEFAAYNGsTKlSsLTK9Xrx6zZs0CICsrizVr1hSY3rhx419vVN27d+9Cdzxp3rz5rxcwuP766wuNhG3VqtWvhe3qq6/mhx9+KDD9oosuYtiwYQC0b9+e3bt3F5jesWNHBgwYAFBouwNte9r20nfbC6VjoCISqE8++YRPPvkk6BgiMTPnXNAZJAlatGjhVq1aFXQMkULy9xLy95pEUomZrXbOtShqmvZARURE4qACKiIiEgcVUBERkThoFK6IBOqiiy4KOoJIXFRARSRQ+ackiKQbdeGKiIjEQQVURALVvn172rdvH3QMkZipC1dEAhV+JRmRdKE9UBERkTiogIqIiMRBBVRERCQOOgYqIoHq2LFj0BFE4qICKiKByr/1lEi6UQGVhFi3bh2NGjUKOkZEbdq0ifsuID179mTGjBkxvad27dqsXbuWatWqxbXM0mBmEdv06NGjyPtQliXLli2jbdu2QcdIuunTp9OzZ88S20SaHq/y5ctTqVIlKleuTPXq1albty516tThxBNPpEmTJlSuXDkhy00UFVCRJNq8eTMPPvgg9913X9BRUoZuZ5Z6Yv1iWBrKly/PySefzPnnn09mZibt27fn6KOPTnqOWGgQkUiSTZo0iS1btgQdQySl/PLLL3z22Wc8+eSTXH/99dStW5dOnTrx8ssvk6r3rVYBFUmy7du3M27cuKBjiKS0vLw8FixYQOfOnWnWrBnz5s0LOlIhKqAiAZgyZQobNmwIOoZIWvjXv/5F165d+f3vf88333wTdJxfqYCKBGDPnj2MGDEi6BgiaeW1117j7LPP5o033gg6CqACKhKYnJwccnNzg44RuGuuuYZrrrkm6BiSJrZs2UKHDh144YUXgo6iAioSlF9++YWhQ4cGHSNwffv2pW/fvkHHkDSyf/9+rr32WhYvXhxoDhVQCVSbNm1wzgX2CPrUiRdeeIHVq1cHmiFou3btYteuXUlfbmZmZlK2senTp0eVZ/jw4UnJU1rneDZo0CDmZe/bt49Nmzbx6aef8tZbbzFmzBguvfTSuM6L3r9/P927d2ft2rWl8vPEQwVUJEDOOQYPHhx0jEB16NCBDh06BB1DkqBChQrUqVOHU045hbZt2zJ48GBeffVVvv32W8aPH0/dunVjmt+PP/7ITTfdlKC0kamAigTs9ddfZ+nSpUHHEAlMjRo1uOeee1i7di0333xzTO995513eOaZZxKUrGQqoCIpYNCgQUFHEAlclSpVeOqpp5g6dSrlykVfnkaOHMmBAwcSmKxoKqAiCXbZZZdFbPP+++/z0ksvJSGNSOrr3bs32dnZUbf//PPPmT9/fgITFU0FVCTBxowZE9UF3IcOHRrIt2iRVDRo0CCuuuqqqNvPnDkzgWmKpgIqkmD//d//zXXXXRex3SeffMKsWbOSkCi19OzZM2F3/5D0NnHiRI44Irp7nrz66qvs3r07wYkKUgEVSYJRo0ZRoUKFiO2GDx/Ovn37kpAodaiASnEaNWrEH/7wh6ja7ty5k/fffz/BiQpSARVJghNPPJFbbrklYrt169YxderUJCRKHVu2bNHdaaRYt912W9RtVUBFyqhhw4ZRtWrViO2ys7PZsWNHEhKlhi5dutClS5egY0iKOuecczjyyCOjavvxxx8nOE1BKqAiSXLsscfSr1+/iO2+//57Jk+enIREIqmvQoUKnHfeeVG1/frrrxOcpiAVUJEkuueeezjqqKMitpswYQI//PBDEhKJpL4mTZpE1W79+vUJTlKQCqhIEtWsWZOBAwdGbLd9+3bGjx+fhEQiqa9WrVpRtdu+fXuCkxSkAiqSZH/84x+juubno48+yrfffpuERCKpLdoCmuybEqiAiiRZ1apVGTZsWMR2e/bsYeTIkUlIFKw+ffrQp0+foGNICqtYsWJU7X755ZcEJylIBVQkALfeeisnnHBCxHbTp0/n888/T0Ki4HTr1o1u3boFHUNSWLTjAaIZ5V6aVEBFAlChQgVGjRoVsd3+/fuj2ltNZ+vXr0/64A9JLyqgIlLAddddxxlnnBGx3dy5c/nwww+TkCgYN9xwAzfccEPQMSSFRTsWINb7iR4qFVCRgJQrV44xY8ZEbKebbsvhbvny5VG1a9CgQYKTFKQCKhKgjh070rp164jtXn31Vd5+++0kJBJJLV9++SUbNmyIqm3jxo0TnKYgFVCRgI0bNy6qdrrpthyO/vrXv0bdtmXLlglMUpgKqEjALrjgAtq3bx+x3cqVK3nllVeSkEgkNezdu5eHHnoo6vatWrVKYJrCVEAlUG+//TZmltRHKt46a+zYsVHddHvIkCFl7qbb/fv3p3///kHHkBT0+OOPs3HjxqjannXWWdSrVy/BiQpSARVJAc2bN4/qXMh//vOfPPvss0lIlDydOnWiU6dOQceQFLN69WruvffeqNt37do1gWmKpgIqkiJGjx7NEUccEbHdfffdR15eXhISJUdubi65ublBx5AUsmHDBq688kr27NkTVfsqVarQq1evBKcqTAVUJEWcdNJJ3HzzzRHbffXVV0ybNi0JiZLjtttui+mmyVK2LV26lLPPPjumi2vcdNNN1K5dO4GpipY2BdTM1pnZxJDn15hZzyLaLTOzeUkNVwwz62lmzsyqBZ1F0sPw4cOpUqVKxHbZ2dns3LkzCYlEkmPDhg3cddddXHzxxXz//fdRv69mzZqBXTM6bQoocCXwSMjza4CeRbTrC2i8v6Sl4447jjvvvDNiu02bNvHwww8nIZFI4mzcuJE5c+bQo0cPTjjhBCZPnhzzBeEffPBBMjIyEpSwZJEPuKQI51xU1zJzzn2a6CwiiXTvvfcybdo0fvrppxLbPfDAA/Tp04eaNWsmKZnIQVu2bIl5RPv+/fvZunUrW7duZdOmTXz99deHlKFXr17Bjqp3zsX9AHKAVUBn4DNgD7AcODWsXVW8vcdNfpu/A5eEtTkf+Buw3X+sAbqGTF8HTAxZrgt7jPCnLQPm+f9v609rFrasmsA+oFfY8t8GdgE/AE8A1aNYBxcAS4EdwE/+8s/0p/X0l18tpP144B9++w3AM0DdsHleDqwGdgI/Au8DbUKm9wI+AXYDW/zczUrKefbZZ7tk+uqrr8J/Pynz6NGjR6n8jD169IhqefHIzs6Oat4DBw6Med7JXEfRaNOmjWvTpk3Slpds06dPj2qdDx8+POiovwr6bzSaR6dOndzevXuTsS5WuWI+V0ujC7cB8CAwGvgD8BvgNTOrHNLmCeAmYAxeV+x6YKGZnQ9gZjWABcBa4GqgCzATOKqYZY7GK1ofAq38x5NFtHsb2IjX3RvqSv/fF/3lnwe8iVfguwBZQAdgekk/uJll+u/LA3oA3fC+BPxXCW87BhgLXOYv5wTgLTMr78/zRGAe8BbQCeiOt26O9qdfADwOzALaAzcDK/DWe9pp06bNIX2Ji+eRk5MT9I8dUVZWFnXq1InY7s9//jPfffddEhIlztChQxk6dGjQMSSNdOvWjXnz5kV9n9BEKY0u3AzgCufcCgAzWw18ibf39biZnQJcB9zknJvht3kN+BgYBlwKNMYrAHc653725/t6cQt0zn1pZluBcs6590pod8DMnscrbMNDJnUDXnfObfWfjwdWOOd+PRHPzL4F3jSz05xz/yxmEeOAj4BL/W8qAK8Wl8fP9OswS79orsTbEz0PeAc4E/jZOfenkLctCvl/S+Bj51zo9d+KvDyNmfUGegMcf/zxJcWSFHPkkUcydOhQ+vXrV2K73bt3M2rUKB5//PEkJSt97dq1C4Jql4gAABORSURBVDqCpImKFSsyduzYlLnwRmnsgX6fXzwBnHNf43U/5l+U8BzAgOdD2hzwn5/vv/QlXpfms2Z2hZkVt+cZjzlAEzP7bwAzywAu9F/HzKri7cHONbMj8h94XdF5wNlFzdTMjgR+C8wIKZ4RmVl7M1thZj8B+/GKJ3hfIsDr3v2Nmc0ws0v85YRaA5xpZg+Z2QVmVuxXMOfcNOdcC+dciyCGeMuh6d27N40aNYrY7qmnnuKLL75IQqLEWLNmDWvWrAk6hqS4iy66iI8++ihliieUUgEt5rVj/f8fC+xwzu0Ka/MfoKqZVXLO/QhcAlQA5gKbzWyhmZ1QCvlWAt/g7XWC10W8H3jJf14TKA9MwSuY+Y+9fp76xcy3Jt4Xg+iuMwWY2Tl4e4sbgBvwCve5/uTKAM65XOAKvK7dRcAWM3vWzGr705fgdYdfgHe8dYuZTSmi0Eqaq1ixYlTD8/fv3899992XhESJkZWVRVZWVtAxJAWVK1eODh068Pbbb7NkyRKaNm0adKQCSqOAHlPMa/mFZSNQzd/TC1UH2OWc2wvgnFvpnPs93nHPq/D2yA75mmX+3uFcDhbQbsDikK7ibXgHpYfj7S2HP54uZtY/Agc4+EUhGlcCm4FuzrlX/O7nTUVkXuic+x1QC2/AUDvgzyHTZzjnzsZbh3/C6y4fFkMOSRPdu3fntNNOi9hu9uzZ2ouTMqFy5cq0bduWBx98kPXr17Nw4UIuuOCCoGMVqTSOgR5jZq1DjoEeD5zFwQE4f8crUF2A//XbmP+80F1SnXO7gflmdholn8+5D3+vLQqzgQFm1hFog3dMNn95O83sPaCJc25UlPPLf9/7wI1m9miU3bhVgLywtt1LWMZPeN3abfD2VsOnbwammtlVwKnRZpf0Ua5cObKzs+ncuXOJ7ZxzDBkyhIULFyYpmUjszIxKlSpRuXJlqlWrRp06dTj22GNp2LAhzZo14/TTT6dFixZUqlQp6KhRKY0CugWYaWbD8E6rGIXXhZsD4Jz7l5k9Bzzqj7b9ArgVaAr0ATCzy/BGk76E1936X8BteCNRi/MZcIWZdcbrEv3OOVfkcETn3Goz+wKY5mdcENZkIN6AoQN4I2B/Bo7HGyk7xDn372Iy3AssARab2TS8005a4Q17Dl8GwBtAlplNBuYDrYHrQxuY2W3+PF4FvgNOBrpy8MvHSLwRucvw1v2ZeF8Kor/qsqSVK664gnPPPZf33it2vBwAixYt4m9/+xu/+93vkpRMDmcNGjRg3bp1QccIVGl04X6N1404Am9PbzveqNTQqwDfCszA62Z8Ge/Ul47Oufw90C/w9lLH4o2+fQCvgJR0YdApftun8fZye0fIOQevu3V++PFYP8cFQG2802fm4xXV9XjHaovknHsHuBjvPNdZ/jLacHBgUHj7RcA9eMdhX/Hbdgxr9rGf40H/5xuKdxrQPf70v+PtbT4OvIb3JWQEoMvSlGG66bZI6imVKxE55/4KFHvbcL9g9fMfRU3PxevSLWkZDcOeb+Hg+Zyhr2cW8/6heMWouPm/D/y+pAzFvO9tvOJb1LQc/D3xkNcewPuCEMpCpq/E2/MtbnkLKLwHLWVcZmYml156Ka+99lqJ7d59910WLlzIZZcVuwmlnLFjxwYdQSQu6XQtXJHDWrQ33R48eDDRHZJPDa1bt6Z169ZBxxCJmQqoSJo466yz6NKlxI4aAD7++GOee+65JCQqHStWrGDFihWRG4qkmEMqoM65ns65FqUVRkRKlp2dXeZuuj148GAGDx4cdAyRmGkPVCSNNG7cOKq7T3z55Zc8+WRRl4cWkdKiAiqSZoYPH07lypFPgR49ejS7doVfAExESosKqEiaqVevHnfccUfEdhs3buSRRx6J2E5E4qMCKpKGBg0aRI0aNSK2u//++9m2bVsSEokcflRARdJQrVq1GDBgQMR227Zt4/77709CovhNnjyZyZMnBx1DJGYqoCJp6q677uKYY4q6l0NBjzzyCJs2FbpnQcpo3rw5zZs3DzqGSMxUQEXSVLVq1RgyZEjEdrt27WL06NFJSBSfJUuWsGTJkqBjiMRMBVQkjd1+++00aNAgYrsnnniCtWvXJiFR7LKzs8nOzg46hkjMVEBF0ljFihUZMWJExHZ5eXlpfdNtkVSkAiqS5m688UZOPTXy7WCfe+45Pv744yQkEjk8qICKpLn8m25HcuDAgaiOmYpIdFRARcqAK6+8kt/+9rcR2y1YoDvhiZSWUrkfqIgEb+zYsVx00UVBx4jZ1KlTg44gEhftgYqUERdeeCHt2rULOkbMmjRpQpMmTYKOIRIzFVCRMmTcuHFBR4jZ/PnzmT9/ftAxRGKmAipShrRo0YKrr7466BgxmTRpEpMmTQo6hkjMVEBFypjs7GzKly8fdAyRMk8FVKSMadq0KT169Ag6hkiZpwIqUgaNGDGCSpUqBR1DpExTARUpg+rXr0/fvn2DjiFSpqmAipRRgwcPpnr16kHHiGjmzJnMnDkz6BgiMVMBFSmjMjIy6N+/f9AxIqpfvz7169cPOoZIzHQlIpEy7O677+Yvf/kLmzdvDjpKsebMmQNAt27dAk6SGM2bN2f48OER22VmZiY+jJQqc84FnUGSoEWLFm7VqlVBxxApJL9wLFu2LNAcclA0t8g76qijyMrKSnyYgJnZaudci6KmaQ9UREQKiKaAio6BioiIxEUFVEREJA4qoCIiInHQMVARCdS8efOCjiASFxVQEQlURkZG0BFE4qIuXBEJVE5ODjk5OUHHEImZCqiIBEoFVNKVCqiIiEgcVEBFRETioAIqIiISBxVQERGROOg0FhEJ1KJFi4KOIBIXFVARCVTVqlWDjiASF3XhikigpkyZwpQpU4KOIRIzFVARCdTcuXOZO3du0DFEYqYCKiIiEgcVUBERkTiogIqIiMRBBVRERCQO5pwLOoMkgZltBr4OOkcZkgFsCTqESDG0fZaeBs652kVNUAEViYOZrXLOtQg6h0hRtH0mh7pwRURE4qACKiIiEgcVUJH4TAs6gEgJtH0mgY6BioiIxEF7oCIiInFQARUREYmDCqikJDOrZmbOzHqGvLbOzCbGMI+WZjailHOtMrOc0pxnMpjZMWY2wswahr2e6a/n04JJlv60rUZmZg39ddQx5LWBZpZZRFtnZncmNWCcVEAlnVwJPBJD+5bA8ARlSTfH4K2LhmGv/x/QCvgy2YHKOG2rBW3E286Wh7w2EMgsom0r4PkkZDpkuqG2JISZVXHO7S7NeTrnPizN+Qk457YD7wWdI0jaVhPPObeXKLcz51zabI/aA5USmVmO3xXU2cw+M7M9ZrbczE4Na+fM7G4zm+xfNvAfIdOu8Oexx8w2mdkDZlYh7P1Xm9m/zWy3mb0DNC0iS6FuMTO7wMyWmtkOM/vJzJaZ2Zl+d9qfQ7I5M1sW8r7TzGyhmf3sP543s7ph8z7NzN71c//LzC6Pcp2tM7OJZnaXmW0wsx/NbLaZHRXW7mgzm2pm//GXscLMfhvWpqb/3p1m9p2Z3ePPe11Im2PN7GkzW+uvv3+bWbaZVfSnNwz5fSzNXx/+tAJduGb2tpkVujmnv8xvzMz855X93+N6M9trZh+ZWYdo1k+iaFs9pG11mP/z7jCzZ8zsN2HtGpnZS2a23c8w38xOCmvTy8w+8dfLFn9bauZPK9CF62+/tYDhIT9zZsg6uNP//0g/V7mwZXX0250U8tot/vL3mtnXZjYwmnVwSJxzeuhR7APIATYDa4HuwFV4Hzjrgcoh7RxeN80c4PdAB//1a4BfgCnAJUAfYBswMeS9ZwH78bpt2gMD/OU5oGdIu3Vh78sE8oDXgav95Y4GOgK1gYn+PM71H6f67zsJ+Al4E+jsv/dT4O8cPLWrCvAt8JH/M3f3M30P5ERYZ+uAb4AFQAegN7ADmBLSphJe9+la4EY/+8vAz0DdkHYvAz8At/g/15v+ul8X0uZ0/2ftDLQBbvWzTw1Z1h/8ddE3f32ErEMHnOY/7wPsAo4Mmb/hXUc5dN0v8NdFH//3+qT/O2yubTXtttVvgbeBTnjb6jbg+bBtdS2QC3TzM/zTf9/RfpsL/J9vkP+zXg6MA1r70xv6P19H//mZ/nKeDPmZa4T8fu70/3+K/7xtWO7/BVaFPP+Tv/wxwMXAvcDe/PkkbJsLamPXIz0e/oeSy/9D8F9r4H+I3B7ymgM+DHtv/gfv9LDXbwZ2A7X853P9DwULaTMkig+llcCq0PeFLedOwBXx+kz/w6BiyGsn4314XuY/7+v/QdYLaXOenyknwjpbh3dM8YiQ1yYDm0Ke9wL2ASeHvHaE/74J/vPT/OV1DWlTBe8i4etKWP4ReAVzT/7PGDKvzLC2mRQsoLX93+21IW1a+W1a+M8v8p+3CZvXO4R88GpbTZttdStQLeS17sAB4BT/+e3+OjwhpE09f/sd5D8fAKwuYTkNCSmg/mtbgBFFtP21gPrPPwIeD3leCe9LxQD/eQ28L6jDw+YzCtgElE/UNqcuXInG9865FflPnHNfA6vxBj6EWhj2vDFwPDDXzI7IfwBvAZXxPtTx5/OK87d6319LCmRmRwK/BWaEvS8a7YAXgQMhmb7C+zDJvwB3S7wPhA35b3LOvYv3rT4aS51z+0Oefwock9+t6mdYDXwVkgG8PYH8DPn/zg/JsBtYErog82SZ2admthvvw/QZvA+a46PMmz//zXi/n24hL3cDvnTOrQrJvgl4N+z3+mZI5qBoWyXmbfUN59yOkOd/xftCcU7I/P/PObc2ZP4bgHeB8/2X1gBnmtlDfld1RUrPHODqkL+R9kB1vC8z4H3BOxJ4vojfXR28Yp8QKqASjaL+EL8Hjg177T9hzzP8fxfhfajnP77yX6/v/1u3iGVE+uOvifdHvjFCu6JkAPeEZcoDToiQKZpc+baFPd+Hlzf/gyUDr9sqPMNNYRl+ds7tCZvX5rDnWcAkvA/aK/A+8O7wp1WOMm+o2UB7M6vhH3vqivchli/DzxaefURI9qBoW40+V5Ht/C9pOzi4zo6l8PrCf+1o/z1L8LbdC4BlwBYzm+J/eThUs/HWw4X+827ASufcN/7z/N/dJxRcR0v91xO2TWoUrkTjmGJe+yTstfBv11v9f3sDRY1KzP9w2lTEMopaZqgf8bqZwj8Yo7EVr9g8WcS0/HsobqKIwSFR5Iolwyq842zh9oZkqG5mlcOKaPi9CbvidZ0OyX8hfOBMjF4EHsMrxl8Dx1GwgG7FO/7V+RCWkSjaVqPPVWQ7M6sCVONgwd8INCvifXU4uN5wzs0AZphZbbxjsQ8B2/GOR8bNObfWzFYB3cxsOd6x2sEhTfIzdKToQp97KMsviQqoROMYM2ud3zVmZsfjDaaYHuF9uXgftA2dc0+U0O7vwOVmNiiki+uqkmbsnNtpZu8DN5rZo8V0je3z84YXoDfxuuRWl9Cl9negu5nVy+8aM7PzKL0C+ibeQJVvnHPF7Snkd5lejt9d5X+4XYw32ChfFQ4W3Xzdw57v8/+NuEfqnPvRzF7H+6b/NfAv59zHYdn7Azucc59Fml+SaVsl5m31YjOrFtKNexXeF4z87S8/eyPn3Ff+/P8LaI3X6xD+824GpprZVUBJX+T2EX0PyWy8Y81v4W3voeeJrsQ7Tn2ccy68az6hVEAlGluAmWY2DG9DHYU/wq+kNznnDphZf/+9NYDFeH80J+DtvXRxzu0C7sf7I51rZk/hfWD0iiLXvXjHAxeb2TRgJ97xkFXOuQVA/of7H83sLWC7cy4X74/+A2ChmT3t/3z/hVeYcpxzy/A+cIf6bUbg/dGO5uC3/kP1v3iDM5aZd7rDWrxh/S3xBhs95Jz7p5nNBx4zs+p4exp3442SPRAyrzeA//E/pL/EK54FTjHAGxW8G+hhZj8BeSHHNIsyB3gab7DGo2HT3gBeA94ws/vx9u5qAM3xRrsOimE9lDZtq7Fvq7v9907A20ueALzonPvUn56D14282MzuwxvANMKf/1TwTjfB685d5r9+Jt6I8JL2Pj8DLjOzV/G6jHOdcz8X03aun2sC8I5z7tfucOfcNv/nftjMGuANZiuHd1y7rXPuyijXQ+wSNTpJj7LxwPvjWYX3rfTfeHs67+KP2gxpV2DkXNi09sDf8D40tuMNOMim4CjVrsAXeCNHl+MNYChxZKP/Whv/D2YX3nHHpfinUuAdd3oA+A6v4CwLeV9TYB5e989uf9lTKTiS8Qxghf8z5+J9kK4iupGN4Tl7+j9P6GjH3wAP451msQ/YgDeA47yQNkfjFbOdeN1T9wFPAGtC2lTD+xDd6j+exOvO+nV0rd+uu/873Ic/4pOwUbghbav769QBTYr4GSsBI/31tg+vuL+KPzJU22pabauT8Arif/yf+zngqLB2JwAv4fV87MA7jSl0BHn+KVab/fWSi1c880+1aUjhUbhn411cYSchI8SL+/3469oBtxXzs1yPN2BsN163+fvA3Ync5nQ7MymRedfSPM05F/ToSgH80YX/BN53zvUIOk8q0bYaO/+CBvOccwOCzpKO1IUrksLMrCveIJ5/4HWT3op3HuCNQeYSERVQkVS3E+/0gJOA8niFtJNz7oNAU4mIunBFRETioQspiIiIxEEFVEREJA4qoCIiInFQARUREYmDCqiIiEgc/h+UqYuEUDSyPgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mglearn.plots.plot_binary_confusion_matrix()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 关于ROC曲线进一步理解\n",
    "\n",
    "- ROC的全称是“受试者工作特征”（Receiver Operating Characteristic）曲线，首先是由二战中的电子工程师和雷达工程师发明的，用来侦测战场上的敌军载具（飞机、船舰），也就是信号检测理论。之后很快就被引入了心理学来进行信号的知觉检测。此后被引入机器学习领域，用来评判分类、检测结果的好坏。因此，ROC曲线是非常重要和常见的统计分析方法。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 模型评估上的一些基本概念：\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 在ROC曲线图中，每个点以对应的FPR值为横坐标，以TPR值为纵坐标\n",
    "### ROC曲线的绘制步骤如下：\n",
    "- 1.假设已经得出一系列样本被划分为正类的概率Score值，按照大小排序。\n",
    "\n",
    "- 2.从高到低，依次将“Score”值作为阈值threshold，当测试样本属于正样本的概率大于或等于这个threshold时，我们认为它为正样本，否则为负样本。举例来说，对于某个样本，其“Score”值为0.6，那么“Score”值大于等于0.6的样本都被认为是正样本，而其他样本则都认为是负样本。\n",
    "\n",
    "- 3.每次选取一个不同的threshold，得到一组FPR和TPR，以FPR值为横坐标和TPR值为纵坐标，即ROC曲线上的一点。\n",
    "\n",
    "- 4.根据3中的每个坐标点，画图。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ROC曲线绘制实例\n",
    "- （1）分析数据：\n",
    "\n",
    "- 以数据：y_true=[0, 0, 1, 1]；scores=[0.1, 0.4, 0.35, 0.8]；为例。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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BAgQIbC2g2LW1kR4ECBAgQIAAAQIECBAgQIAAAQIlEVDsKkmihEmAAAECBAgQIECAAAECBAgQILC1gGLX1kZ6ECBAgAABAgQIECBAgAABAgQIlERAsaskiRImAQIECBAgQIAAAQIECBAgQIDA1gL/B6WfrU8ESHPEAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- （2）由数据可得：\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- （3）将截断点依次取为score值，计算TPR和FPR。\n",
    "- ①当截断点为0.1时：说明只要score>=0.1，它的预测类别就是正例。 因为4个样本的score都大于等于0.1，所以，所有样本的预测类别都为P。\n",
    "- scores = [0.1, 0.4, 0.35, 0.8]；y_true = [0, 0, 1, 1]；y_pred = [1, 1, 1, 1]；正例与反例信息如下：\n",
    "![image.png](attachment:image.png)\n",
    "\n",
    "- 由此可得：TPR = TP/(TP+FN) = 1； FPR = FP/(TN+FP) = 1；"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- ②当截断点为0.35时：scores = [0.1, 0.4, 0.35, 0.8]；y_true = [0, 0, 1, 1]；y_pred = [0, 1, 1, 1];正例与反例信息如下：\n",
    "![image.png](attachment:image.png)\n",
    "- 由此可得：TPR = TP/(TP+FN) = 1； FPR = FP/(TN+FP) = 0.5；"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- ③当截断点为0.4时：scores = [0.1, 0.4, 0.35, 0.8]；y_true = [0, 0, 1, 1]；y_pred = [0, 1, 0, 1]；正例与反例信息如下：\n",
    "![image.png](attachment:image.png)\n",
    "- 由此可得：TPR = TP/(TP+FN) = 0.5； FPR = FP/(TN+FP) = 0.5；"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- ④当截断点为0.8时：scores = [0.1, 0.4, 0.35, 0.8]；y_true = [0, 0, 1, 1]；y_pred = [0, 0, 0, 1]；正例与反例信息如下：\n",
    "![image.png](attachment:image.png)\n",
    "- 由此可得：TPR = TP/(TP+FN) = 0.5； FPR = FP/(TN+FP) = 0；"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- （4）根据TPR、FPR值，以FPR为横轴，TPR为纵轴画图。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 关于P-R曲线的理解：\n",
    "- 首先回顾一下查准率P（Precision）与查全率R（Recall）的定义为：\n",
    "![image.png](attachment:image.png)"
   ]
  },
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 那么将样本按照按照预测为正例的概率值从大到小进行排序，从第一个开始，逐个将当前样本点的预测值设置为阈值，有了阈值之后，即可得出混淆矩阵各项的数值，然后计算出P和R，以R为横坐标，P为纵坐标，绘制于图中，即可得出P-R曲线，示意图如下：\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 根据P-R曲线来评估模型的性能：\n",
    "- 1.若一个学习模型的P-R曲线完全包住另一个学习模型的P-R曲线，则前者的性能优于后者。即查全率相同的情况下，查准率越高模型的泛化性能越好，如模型A优于模型B。\n",
    "\n",
    "- 2.若两个学习模型的P-R曲线互相交叉，则可通过“平衡点”（Break-Event Point，简称BEP）来评价模型的优劣，BEP是“查准率=查全率”的数值。由上图可知，模型A的平衡点大于模型B的平衡点，即模型A优于B。\n",
    "\n",
    "- 3.由于BEP过于简化，更常用的是F1度量。需要注意的是F1越大，性能越好。F1度量：\n",
    "![image.png](attachment:image.png)\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 4.F1度量认为查全率和查准率的重要性程度一样，若考虑到查全率和查准率的重要性程度不一样，如推荐给用户的信息尽可能是用户感兴趣的，那么查准率更重要；抓捕逃犯时更希望尽可能少漏掉逃犯，此时查全率更重要。为了描述查准率和查全率的相对重要程度，则用F1度量的一般形式：Fβ：\n",
    "![image.png](attachment:image.png)\n",
    "其中，β＞0度量了查全率对查准率的相对重要性，β=1时退化为标准的F1；β＞1时查全率更重要；β＜1时查准率更重要。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 总结：P-R曲线是从查准率和查全率的角度去衡量学习模型的泛化性能，ROC曲线则是从更一般的情况下去衡量学习模型的泛化性能，若没有任何先验条件的限制情况下，推荐用ROC曲线去衡量模型的泛化性能。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 先建立一个SVC模型，然后根据阈值的不同画出ROC曲线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use more data points for a smoother curve\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.svm import SVC\n",
    "X, y = make_blobs(n_samples=(4000, 500), cluster_std=[7.0, 2], random_state=22) #make_blobs生成两个类别，一类4000，一类500，标准差前一类7.0，后一类0.2\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n",
    "svc = SVC(gamma=0.05).fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1beae3f5708>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import roc_curve\n",
    "fpr, tpr, thresholds = roc_curve(y_test, svc.decision_function(X_test))\n",
    "\n",
    "plt.plot(fpr, tpr, label=\"ROC Curve\")\n",
    "plt.xlabel(\"FPR\")\n",
    "plt.ylabel(\"TPR (recall)\")\n",
    "# find threshold closest to zero\n",
    "close_zero = np.argmin(np.abs(thresholds))\n",
    "plt.plot(fpr[close_zero], tpr[close_zero], 'o', markersize=10,\n",
    "         label=\"threshold zero\", fillstyle=\"none\", c='k', mew=2)\n",
    "plt.legend(loc=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 思考一个问题，最优点应当是FPR最小，且TPR最大的点，这个点如何找到？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "95"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmax(tpr-fpr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.9782299948489811"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "thresholds[95]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4.随机森林和SVC的ROC曲线"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 对比两个模型的ROC曲线：随机森林和支持向量机\n",
    "### 需要注意的是：随机森林的默认阈值是0.5，阈值的取值范围是在0.5周围选择"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomForestClassifier(max_features=2, random_state=0)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "rf = RandomForestClassifier(n_estimators=100, random_state=0, max_features=2)\n",
    "rf.fit(X_train, y_train)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1beae511cc8>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fpr_rf, tpr_rf, thresholds_rf = roc_curve(y_test, rf.predict_proba(X_test)[:, 1])\n",
    "\n",
    "plt.plot(fpr, tpr, label=\"ROC Curve SVC\")\n",
    "plt.plot(fpr_rf, tpr_rf, label=\"ROC Curve RF\")\n",
    "\n",
    "plt.xlabel(\"FPR\")\n",
    "plt.ylabel(\"TPR (recall)\")\n",
    "plt.plot(fpr[close_zero], tpr[close_zero], 'o', markersize=10,\n",
    "         label=\"threshold zero SVC\", fillstyle=\"none\", c='k', mew=2)\n",
    "close_default_rf = np.argmin(np.abs(thresholds_rf - 0.5))\n",
    "plt.plot(fpr_rf[close_default_rf], tpr[close_default_rf], '^', markersize=10,\n",
    "         label=\"threshold 0.5 RF\", fillstyle=\"none\", c='k', mew=2)\n",
    "\n",
    "plt.legend(loc=4)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 关于AUC(Area under Curve)：\n",
    "- AUC（Area Under Curve）为Roc曲线下的面积，介于0.1和1之间。AUC作为数值可以直观的评价分类器的好坏，值越大越好。\n",
    "- AUC为ROC曲线的面积，面积可以通过梯度面积法求解。面积可以通过梯度面积法求解：\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 注：\n",
    "- AUC的计算表达式理解起来有点别扭，假设正负样本数均为m例，回想下ROC曲线的算法思想，假正例率对应的是真实负样本中分类结果为正样本的比例，真正例率对应的是真实正样本中分类为正样本的比例。\n",
    "- 假正例率和真正例率的增长性具有互斥性，每次都只能增加一个，且每次增加的梯度为1/m，横坐标和纵坐标共增加了m次。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 从AUC判断分类器（预测模型）优劣的标准：\n",
    "- 1. AUC = 1，是完美分类器，采用这个预测模型时，存在至少一个阈值能得出完美预测。绝大多数预测的场合，不存在完美分类器。\n",
    "\n",
    "- 2. 0.5 < AUC < 1，优于随机猜测。这个分类器（模型）妥善设定阈值的话，能有预测价值。\n",
    "\n",
    "- 3. AUC = 0.5，跟随机猜测一样（例：丢铜板），模型没有预测价值。\n",
    "\n",
    "- 4. AUC < 0.5，比随机猜测还差；但只要总是反预测而行，就优于随机猜测。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 计算曲线下面的面积AUC，用AUC对比模型是更加有说服力的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AUC for Random Forest: 0.937\n",
      "AUC for SVC: 0.916\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import roc_auc_score\n",
    "rf_auc = roc_auc_score(y_test, rf.predict_proba(X_test)[:, 1])\n",
    "svc_auc = roc_auc_score(y_test, svc.decision_function(X_test))\n",
    "print(\"AUC for Random Forest: {:.3f}\".format(rf_auc))\n",
    "print(\"AUC for SVC: {:.3f}\".format(svc_auc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.06"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "thresholds_rf[np.argmax(tpr_rf-fpr_rf)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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  "language_info": {
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    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
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